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### ME345_Lecture_03

Course: ME 345, Spring 2008
School: Penn State
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Word Count: 170

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M E 345 Spring 2008 Professor John M. Cimbala Lecture 03 01/18/2008 Today, we will: Review the pdf module: Errors and Calibration Do some example problems errors and calibration Discuss an additional item not in the pdf notes: Mean Bias Error Review the pdf module: &lt;a href=&quot;/keyword/basic-statistics/&quot; &gt;basic statistics&lt;/a&gt; Do some example problems &lt;a...

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M E 345 Spring 2008 Professor John M. Cimbala Lecture 03 01/18/2008 Today, we will: Review the pdf module: Errors and Calibration Do some example problems errors and calibration Discuss an additional item not in the pdf notes: Mean Bias Error Review the pdf module: <a href="/keyword/basic-statistics/" >basic statistics</a> Do some example problems <a href="/keyword/basic-statistics/" >basic statistics</a> Discuss an additional item not in the pdf notes: <a href="/keyword/root-mean-square-error/" ><a href="/keyword/root-mean-square/" >root mean square</a> error</a> Do Candy Questions for Candy Friday Example Given: The actual (true) temperature is 22.100oC. Six thermometer readings are taken: 22.15, 22.22, 22.09, 22.21, 22.18, and 22.24oC. To do: Calculate the systematic error for this set of measurements, and calculate the accuracy error (inaccuracy) and the precision error for each measurement. Solution: Ti (oC) 22.15 22.22 22.09 22.21 22.18 22.24 Inaccuracy = Ti Ttrue (oC) Precision error = Ti T (oC) [See also <a href="/keyword/excel-spreadsheet/" >excel spreadsheet</a> on the website for this same problem] Example Given: Ten houses are sold in the State College area during a particular time period. The selling prices are listed (in increasing order), rounded to the nearest 500 dollars. 1 2 3 4 5 6 7 8 9 10 To do: Solution: \$242,000 \$253,000 \$264,000 \$267,500 \$269,000 \$278,000 \$286,500 \$299,000 \$327,000 \$748,000 Calculate the mean, mode, and median, and discuss.
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Penn State - ME - 345
M E 345 Spring 2008 Professor John M. Cimbala Lecture 2703/24/2008Today, we will: Review the pdf module: Stress, Strain, and Strain Gages Do some example problems strain gages and Wheatstone bridges Discuss an additional item not in the pdf
Penn State - ME - 345
M E 345 Spring 2008 Professor John M. Cimbala Lecture 2103/03/2008Today, we will: Review the pdf module: Review of Basic Electronics Do some example problems basic electronics Review the pdf module: Filters If time, do some example problems
Penn State - ME - 345
M E 345 Spring 2008 Professor John M. Cimbala Lecture 1502/18/2008Today, we will: Review the pdf module: Digital Data Acquisition Do some example problems digital data acquisitionExample Given: To do: Solution:The integer 78 (base 10). Wr
Penn State - ME - 345
Fourier Transforms, DFTs, and FFTsAuthor: John M. Cimbala, Penn State University Latest revision: 21 February 2008Introduction In spectral analysis, our goal is to determine the frequency content of a signal. For analog signals, we use Fourier s
Penn State - ME - 345
M E 345 Spring 2008 Professor John M. Cimbala Lecture 3104/02/2008Today, we will: Discuss a practical application of 1st-order dynamic system analysis room ventilation Discuss an additional item not in the pdf notes: half-life Finish revie
Penn State - ME - 345
Name: Date of lab:_ Lab 6 _ Section number: M E 345._Precalculations Individual Portion Filter Lab: Building and Testing Electrical FiltersPrecalculations Score (for instructor or TA use only): _ / 201. Draw the circuit diagram for a simple f
Penn State - ME - 345
Name: Date of lab:_ Lab 6 _ Section number: M E 345._Precalculations Individual Portion Filter Lab: Building and Testing Electrical FiltersPrecalculations Score (for instructor or TA use only): _ / 201. Draw the circuit diagram for a simple f
Penn State - ME - 345
9. In Tuesday's practice, Eli Manning makes several dozen passes to a mark 35 yards downfield. The sample mean of his passes is 34.92 yards, and the sample standard deviation is 0.60 yards. How would we write these results in standard engineering fo
Penn State - ME - 345
Temperature MeasurementAuthor: John M. Cimbala, Penn State University Latest revision: 14 November 2007 [minor modification 09 April 2008]Introduction There are four basic types of temperature measuring devices, each of which uses a different pri
Penn State - ME - 345
Digital Data AcquisitionAuthor: John M. Cimbala, Penn State University Latest revision: 27 July 2007Introduction Instruments and data can be either analog (continuous) or digital (discrete). In this learning module, we discuss digital data, and
Penn State - ME - 345
Digital Data AcquisitionAuthor: John M. Cimbala, Penn State University Latest revision: 27 July 2007Introduction Instruments and data can be either analog (continuous) or digital (discrete). In this learning module, we discuss digital data, and
Penn State - ME - 345
Dynamic System ResponseAuthor: John M. Cimbala, Penn State University Latest revision: 02 November 2007 minor correction 31 March 2008Introduction In an ideal world, sensors respond instantly to changes in the parameter being measured. In the r
Penn State - ME - 345
LabVIEW - Instructions for Building a Virtual Instrument: Sample and Display Voltage DataAuthor: John M. Cimbala, Penn State University Latest revision: 28 February 2008IntroductionLabVIEW is a graphical programming language which was first devel
Penn State - ME - 345
M E 345Spring 2008 Professor John M. Cimbala Lecture 3604/14/2008Today, we will: Continue to review the pdf module: Measurement of Mechanical Quantities (begin where we left off on Friday sonic and ultrasonic transducers) Do some example prob
Penn State - ME - 345
FiltersAuthor: John M. Cimbala, Penn State University Latest revision: 15 October 2007Introduction Signals often contain noise and/or frequency components that we want to eliminate or suppress (attenuate). In this learning module, we discuss fil
Penn State - ME - 345
M E 345 Spring 2008 Professor John M. Cimbala Lecture 0501/25/2008Today, we will: Review the pdf module: The Gaussian or Normal Probability Density Function Do some example problems Gaussian PDFs and probability estimates If time, review th
Penn State - ME - 345
M E 345 Spring 2008 Professor John M. Cimbala Lecture 2603/21/2008Today, we will: Finish reviewing the pdf module: Op-Amps (CMRR and GBP effects) Do some example problems Op-amp circuits Do Candy Questions for Candy FridayExample Given: We
Penn State - ME - 345
M E 345 Spring 2008 Professor John M. Cimbala Lecture 0701/30/2008Today, we will: Review the second half of the pdf module: Other PDFs (The Chi-Squared PDF) Do some example problems t PDF and chi-squared PDF Review the pdf module: Correlati
Penn State - ME - 345
M E 345Spring 2008 Professor John M. Cimbala Lecture 1902/27/2008Today, we will: Discuss an additional item not in the pdf notes: Analogy between Fourier series and FFTs Do an example problem FFT with windowing Review the pdf module: How to A
Penn State - ME - 345
Revised Thermocouple Reference Tables+ Thermocouple GradeTYPEReference Tables N.I.S.T. Monograph 175 Revised to ITS-90T-7 -6 -5 -4 -3-6.160 -6.078 -5.973 -5.850 -5.710 -5.555 -5.387 -5.205 -5.010 -4.802 -4.581 -4.348 -4.102 -3.844 -3.574 -
Penn State - ME - 345
M E 345 Spring 2008 Professor John M. Cimbala Lecture 3804/18/2008Today, we will: Finish our discussion about mechanical measurements Do some example problems mechanical measurements Do Candy Questions for Candy Friday Begin to review the
Penn State - ME - 345
Measurement of Mechanical QuantitiesAuthor: John M. Cimbala, Penn State University Latest revision: 15 April 2008Introduction Some examples of mechanical quantities that need to be measured include position (or displacement), angular velocity (ro
Penn State - ME - 345
Taguchi Orthogonal ArraysAuthor: John M. Cimbala, Penn State University Latest revision: 07 February, 2008Introduction There are options for creating Taguchi arrays for the design of experiments, depending on how many times you choose to test eac
Penn State - ME - 345
Name: Date of lab:_ _ Section number: M E 345._ Lab 12Precalculations Individual Portion Fluid Measurement Lab: Pressure, Velocity, and Fluid MeasurementsPrecalculations Score (for instructor or TA use only): _ / 201. At a temperature of 22oC
Penn State - ME - 345
M E 345 Spring 2008 Professor John M. Cimbala Lecture 2403/17/2008Today, we will: Begin to review the pdf module: Operational Amplifiers (Op-Amps) Discuss some additional items not in the pdf notes: Feedback loops and input and output impedanc
Penn State - ME - 345
M E 345 Spring 2008 Professor John M. Cimbala Lecture 1002/06/2008Today, we will: Review the pdf module: Experimental Uncertainty Analysis Do some example problems experimental uncertainty analysis If time, begin to review the pdf module: Ex
Penn State - ME - 345
Outline and Equation Sheet for M E 345Author: John M. Cimbala, Penn State University Latest revision, 15 April 2008Introduction Primary dimensions mass, length, time, temperature, current, amount of light, and amount of matter. Significant digi
Penn State - ME - 345
Response Surface MethodologyAuthor: John M. Cimbala, Penn State University Latest revision: 11 February 2008Introduction Taguchi design arrays were introduced previously as a way to hunt intelligently for an optimum point. Taguchi's design array
Penn State - ME - 345
Experimental DesignAuthor: John M. Cimbala, Penn State University Latest revision: 19 September 2007Introduction When setting up an experiment, it is important to first take some time to carefully design the experiment. In this module we discuss
Penn State - ME - 345
LabVIEW - Instructions for Modifying a Virtual Instrument: Generate a Frequency Spectrum from Sampled DataAuthor: John M. Cimbala, Penn State University Latest revision: 28 February 2008IntroductionThis module assumes that you have already create
Penn State - ME - 345
M E 345 Spring 2008 Professor John M. Cimbala Lecture 1402/15/2008Today, we will: Do another example problem hypothesis testing Review the pdf module: Two Samples Hypothesis Testing Do some example problems two samples hypothesis testing D
Penn State - ME - 345
M E 345 Spring 2008 Professor John M. Cimbala Lecture 3003/31/2008Today, we will: Review the pdf module: Dynamic System Response Do some example problems dynamic system response Discuss an additional item not in the pdf notes: using the ramp
Penn State - ME - 345
Name: Date of lab:_ _ Section number: M E 345._ Lab 11Precalculations Individual Portion Mechanical Measurements Lab: Measurement of Mechanical QuantitiesPrecalculations Score (for instructor or TA use only): _ / 201. In the eddy current dyna
Penn State - ME - 345
M E 345 Spring 2008 Professor John M. Cimbala Lecture 4405/02/2008Today, [LAST LECTURE ] we will: Do some example problems REVIEW FOR FINAL EXAM! Do Candy Questions for Candy Friday REVIEW FOR FINAL EXAM!Example Given: A sixth-order Butter
Penn State - ME - 345
M E 345Spring 2008 Professor John M. Cimbala Lecture 4104/25/2008Today, we will: Finish our discussion about Pitot-static probes and other kinds of pressure probes, and do an example problem Review the pdf module: Linear Velocity Measurement D
Penn State - ME - 345
Operational Amplifiers (Op-Amps)Author: John M. Cimbala, Penn State University Latest revision: 11 March 2008Introduction An operational amplifier (abbreviated op-amp) is an integrated circuit (IC) that amplifies the signal across its input termi
Penn State - ME - 345
M E 345 Spring 2008 Professor John M. Cimbala Lecture 0902/04/2008Today, we will: Review the pdf module: Outliers Do some example problems outliersExample Given: below):Eleven measurements of turbine efficiency are taken (listed in increa
Penn State - ME - 345
M E 345 Spring 2008 Professor John M. Cimbala Lecture 1302/13/2008Today, we will: Review the pdf module: Hypothesis Testing Do some example problems hypothesis testingExample Given: A manufacturer claims that their pressure sensor will soun
Penn State - ME - 345
M E 345 Spring 2008 Professor John M. Cimbala Lecture 2002/29/2008Today, we will: Do some example problems analyzing the frequency content of a signal Do Candy Questions for Candy Friday If time, review the pdf module: Review of Basic Elect
Penn State - ME - 345
M E 345 Spring 2008 Professor John M. Cimbala Lecture 1802/25/2008Today, we will: Finish reviewing the pdf module: Fourier Transforms, DFTs and FFTs Do some example problems FFTs Discuss leakage and the analogy between Fourier series and F
Penn State - ME - 345
M E 345 Spring 2008 Professor John M. Cimbala Lecture 2503/19/2008Today, we will: Continue the example from last time, which we did not quite finish. Continue reviewing the pdf module: Op-Amps (noninverting amps, active filters, and clipping c
Penn State - ME - 345
M E 345 Spring 2008 Professor John M. Cimbala Lecture 3704/16/2008Today, we will: Do some example problems rotational rate (rpm) measurement and aliasing Finish the pdf module: Measurement of Mechanical Properties dynamometers Do some examp
Penn State - ME - 345
Other PDFsAuthor: John M. Cimbala, Penn State University Latest revision: 30 January 2008Introduction There are other useful standard distributions and PDFs besides the Gaussian PDF. These include the binomial, chi-squared, exponential, gamma, lo
Penn State - ME - 345
M E 345 Spring 2008 Professor John M. Cimbala Lecture 0201/16/2008Today, we will: Do an example problem significant digits Review the pdf module: Dimensional Analysis Do some example problems dimensional analysisExample Given: Atmospheri
Penn State - ME - 345
Introduction to Mechanical Engineering MeasurementsAuthor: John M. Cimbala, Penn State University Latest revision, 14 January 2008Two Main Purposes of Measurements Engineering experimentation - This is where we new information, and is generally d
Penn State - ME - 345
Sample Excel Spreadsheet - Generating an FFT with a Hanning Window (for a sine wave function) J. M. Cimbala Specified constants for a sine wave of the following standard form, f (t ) = C + A sin(2p ft - f ): sampling frequency f s (Hz) = 90 Hz number
Penn State - ME - 345
M E 345 Spring 2008 Professor John M. Cimbala Lecture 3404/09/2008Today, we will: Do some more example problems temperature measurement Continue to review the pdf module: Temperature Measurement Discuss an additional item not in the pdf note
Penn State - ME - 345
Sample Excel Spreadsheet - Generating an FFT with a Hanning Window (for a sine wave function with a DC offset) J. M. Cimbala Specified constants for a sine wave of the following standard form, f (t ) = C + A sin(2p ft - f ): sampling frequency f s (H
Penn State - ME - 345
M E 345 Spring 2008 Professor John M. Cimbala Lecture 3204/04/2008Today, we will: Finish reviewing the pdf module: Dynamic System Response (2nd-order systems) Do some example problems second-order dynamic systems If time permits, start to re
Penn State - ME - 345
M E 345 Spring 2008 Professor John M. Cimbala Lecture 3904/21/2008Today, we will: Finish reviewing the pdf module: Pressure Measurement Do some example problems pressure measurement Discuss some additional items not in the pdf notes: hydraul
Penn State - ME - 345
M E 345 Spring 2008 Professor John M. Cimbala Lecture 2203/05/2008Today, we will: Finish reviewing the pdf module: Filters Do some example problems filters If time, start to review the pdf module: Op-AmpsGiven: A voltage signal contains us
Penn State - ME - 345
Platinum 100- RTD TableTable taken from R. E. Fraser, Process Measurement and Control Introduction to Sensors, Communication, Adjustment, and Control, Prentice-Hall, Inc., Upper Saddle River, NJ, 2001.
Penn State - ME - 345
M E 345 Spring 2008 Professor John M. Cimbala Lecture 4304/30/2008Today, we will: Discuss an additional item not in the pdf notes: standard vs. cinema PIV Discuss an additional item not in the pdf notes: constant temperature hot-wire anemometr
Penn State - ME - 345
M E 345Spring 2008 Professor John M. Cimbala Lecture 2903/28/2008Today, we will: Finish the example problem we started last time designing a strain gage circuit for a data acquisition system (good exam review problem) Do another example probl
Penn State - ME - 345
M E 345 Spring 2008 Professor John M. Cimbala Lecture 4004/23/2008Today, we will: Finish talking about strain gage pressure transducers. Discuss some additional items not in the pdf notes: McLeod gage, calibration of pressure transducers, pres
Penn State - ME - 345
M E 345 Spring 2008 Professor John M. Cimbala Lecture 2803/26/2008Today, we will: Finish review the pdf module: Stress, Strain, and Strain Gages Discuss an additional item not in the pdf notes: Transverse strain, strain gage rosettes Do some
Penn State - ME - 345
Sample Excel Spreadsheet - Generating an FFT from a time signal J. M. Cimbala Specified constants for a sine wave of the following standard form, f (t ) = C + A sin(2p ft - f ): sampling frequency f s (Hz) = 100 Hz number of data points, N = 128 DC o
Penn State - ME - 345
Linear Velocity MeasurementAuthor: John M. Cimbala, Penn State University Latest revision: 19 February 2008Introduction Velocity is a vector that consists of a magnitude (speed) and a direction. Linear velocity is defined as the rate of change o
Penn State - ME - 345
H3 Color Codes-MM3.qxd1/23/0411:44 AMPage 3ANSI and IEC Color Codesfor Thermocouples, Wire and ConnectorsAll OMEGA Thermocouple Wire, Probes and Connectors are available with either ANSI or IEC Color Codes. In this Handbook, model number
Penn State - ME - 345
Volume and Mass Flow Rate MeasurementAuthor: John M. Cimbala, Penn State University Latest revision: 07 December 2007Introduction and notation In many engineering applications, either mass flow rate or volume flow rate must be measured. Notation
Penn State - GEOSC - 508
Reading and References for Rock FrictionRock Friction, Special issue of Pure and Applied Geophysics, V. 116, 1978. Friction and Faulting, Special issue of Pure and Applied Geophysics, V124, 1986. Faulting, Friction and Earthquake Mechanics, Special